Introduction to Lattices and Order - Brossura

Davey, B. A.

Brossura

ISBN 10: 0521784514 ISBN 13: 9780521784511

Casa editrice: Cambridge University Press, 2002

Riassunto

Ordered structures have been increasingly recognized in recent years due to an explosion of interest in theoretical computer science and all areas of discrete mathematics. This book covers areas such as ordered sets and lattices. A key feature of ordered sets, one which is emphasized in the text, is that they can be represented pictorially. Lattices are also considered as algebraic structures and hence a purely algebraic study is used to reinforce the ideas of homomorphisms and of ideals encountered in group theory and ring theory. Exposure to elementary abstract algebra and the rotation of set theory are the only prerequisites for this text. For the new edition, much has been rewritten or expanded and new exercises have been added.

Su questo libro

Recensione

'Recommended for every academic mathematics collection.' Choice

'... an excellent introductory textbook on ordered sets and lattices and it is intended for undergraduate and beginning graduate students in mathematics.' Vaclav Slavic, Zentralblatt für Mathematik

'I used Introduction to Lattices and Order as the sole textbook in a one semester course. The students enrolled were a heterogeneous group including modestly prepared undergraduates, well trained graduate students, and a few applications-oriented computer science students ... In short, the textbook was a success.' Joel Berman, Australian Mathematical Society Gazette

'... a well-written, satisfying, informative, and stimulating account of applications that are of great interest, particularly in computer science and social science ... it will surely become a classic.' Mathematical Reviews

'Altogether, this is a great book. It would be interesting (and educational) to give a course based on it - almost makes me wish I hadn't retired!' Australian Mathematical Society Gazette

'... a valuable source to anyone who needs to use ordered structures in any context.' EMS Newsletter

'It can be recommended as a valuable source to anyone who needs to use ordered structures in any context.' European Mathematical Society

'The book is written in a very engaging and fluid style. The understanding of the content is aided tremendously by the very large number of beautiful lattice diagrams ... The book provides a wonderful and accessible introduction to lattice theory, of equal interest to both computer scientists and mathematicians.' Jonathan Cohen, SIGACT News

Descrizione del libro

The explosive development of theoretical computer science in recent years has influenced this new edition: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 0521784514
• ISBN 13: 9780521784511
• Rilegatura: Copertina flessibile
• Numero di pagine: 312
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia